13 research outputs found
A New Proof of a Classical Theorem in Design Theory
AbstractWe present a new proof of the well known theorem on the existence of signed (integral) t-designs due to Wilson and Graver and Jurkat
Some New 6-(14, 7, 4) Designs
AbstractIn this paper, we employ trades to produce some new 6-(14, 7, 4) designs with three automorphisms
Classification of simple 2-(11,3,3) designs
We present an orderly algorithm for classifying triple systems. Subsequently, we show that there exist exactly 7,038,699,746 nonisomorphic simple 2-(11, 3, 3) designs. The method is also used to confirm the previously accomplished classifications of 2-(8,3,6), 2-(12, 3, 2) and 2-(19, 3, 1) designs
A new basis for trades
Research supported in part by a grant from the Research Council of the University of TehranSIGLEITItal